{"title":"横向各向同性对层状盐在约束压力下蠕变行为的影响","authors":"Kanya Kraipru, Kittitep Fuenkajorn, Thanittha Thongprapha","doi":"10.1007/s11043-024-09695-3","DOIUrl":null,"url":null,"abstract":"<div><p>In this paper, we investigate the role of transverse isotropy on the creep behavior of bedded salt. We conducted a series of triaxial creep tests on prismatic specimens subjected to confining pressures (<span>\\(\\sigma _{3}\\)</span>) of up to 24 MPa and a constant octahedral shear stress (<span>\\(\\tau _{\\mathrm{o}}\\)</span>) of 9 MPa. The specimens were oriented with their bedding planes at various angles (<span>\\(\\beta \\)</span>) to the major principal axis to simulate transverse isotropic conditions. Our findings reveal that both instantaneous and creep deformations are most significant when <span>\\(\\beta = 0^{\\circ }\\)</span>, decreasing progressively to a minimum at <span>\\(\\beta = 90^{\\circ }\\)</span> across all confining pressures. The discrepancy in deformations between these intrinsic angles narrows with increasing <span>\\(\\sigma _{3}\\)</span>. Creep deformations for intermediate angles (<span>\\(0^{\\circ} < \\beta < 90^{\\circ }\\)</span>) follow the elliptical equations. Utilizing the Burgers creep model, we observed that the instantaneous, viscoelastic moduli, and viscoplastic coefficients escalate with <span>\\(\\beta \\)</span>. The degree of anisotropy declines sharply as confining pressures increase, reaching an isotropic state under <span>\\(\\tau _{\\mathrm{o}} = 9\\text{ MPa}\\)</span> and <span>\\(\\sigma _{3}\\)</span> around 40 MPa, beyond which transient creep ceases, indicating a transition to Maxwell-material behavior. Employing linear viscoelastic theory, we derived an equation for time-dependent deformation under varying octahedral shear stresses. This enables the formulation of governing equations for Burgers-model parameters, considering bedding plane orientations, loading durations, and the interactions between shear and confining stresses.</p></div>","PeriodicalId":698,"journal":{"name":"Mechanics of Time-Dependent Materials","volume":"28 4","pages":"2879 - 2897"},"PeriodicalIF":2.1000,"publicationDate":"2024-04-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"The effect of transverse isotropy on the creep behavior of bedded salt under confining pressures\",\"authors\":\"Kanya Kraipru, Kittitep Fuenkajorn, Thanittha Thongprapha\",\"doi\":\"10.1007/s11043-024-09695-3\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>In this paper, we investigate the role of transverse isotropy on the creep behavior of bedded salt. We conducted a series of triaxial creep tests on prismatic specimens subjected to confining pressures (<span>\\\\(\\\\sigma _{3}\\\\)</span>) of up to 24 MPa and a constant octahedral shear stress (<span>\\\\(\\\\tau _{\\\\mathrm{o}}\\\\)</span>) of 9 MPa. The specimens were oriented with their bedding planes at various angles (<span>\\\\(\\\\beta \\\\)</span>) to the major principal axis to simulate transverse isotropic conditions. Our findings reveal that both instantaneous and creep deformations are most significant when <span>\\\\(\\\\beta = 0^{\\\\circ }\\\\)</span>, decreasing progressively to a minimum at <span>\\\\(\\\\beta = 90^{\\\\circ }\\\\)</span> across all confining pressures. The discrepancy in deformations between these intrinsic angles narrows with increasing <span>\\\\(\\\\sigma _{3}\\\\)</span>. Creep deformations for intermediate angles (<span>\\\\(0^{\\\\circ} < \\\\beta < 90^{\\\\circ }\\\\)</span>) follow the elliptical equations. Utilizing the Burgers creep model, we observed that the instantaneous, viscoelastic moduli, and viscoplastic coefficients escalate with <span>\\\\(\\\\beta \\\\)</span>. The degree of anisotropy declines sharply as confining pressures increase, reaching an isotropic state under <span>\\\\(\\\\tau _{\\\\mathrm{o}} = 9\\\\text{ MPa}\\\\)</span> and <span>\\\\(\\\\sigma _{3}\\\\)</span> around 40 MPa, beyond which transient creep ceases, indicating a transition to Maxwell-material behavior. Employing linear viscoelastic theory, we derived an equation for time-dependent deformation under varying octahedral shear stresses. This enables the formulation of governing equations for Burgers-model parameters, considering bedding plane orientations, loading durations, and the interactions between shear and confining stresses.</p></div>\",\"PeriodicalId\":698,\"journal\":{\"name\":\"Mechanics of Time-Dependent Materials\",\"volume\":\"28 4\",\"pages\":\"2879 - 2897\"},\"PeriodicalIF\":2.1000,\"publicationDate\":\"2024-04-17\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mechanics of Time-Dependent Materials\",\"FirstCategoryId\":\"88\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s11043-024-09695-3\",\"RegionNum\":4,\"RegionCategory\":\"材料科学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATERIALS SCIENCE, CHARACTERIZATION & TESTING\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mechanics of Time-Dependent Materials","FirstCategoryId":"88","ListUrlMain":"https://link.springer.com/article/10.1007/s11043-024-09695-3","RegionNum":4,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATERIALS SCIENCE, CHARACTERIZATION & TESTING","Score":null,"Total":0}
The effect of transverse isotropy on the creep behavior of bedded salt under confining pressures
In this paper, we investigate the role of transverse isotropy on the creep behavior of bedded salt. We conducted a series of triaxial creep tests on prismatic specimens subjected to confining pressures (\(\sigma _{3}\)) of up to 24 MPa and a constant octahedral shear stress (\(\tau _{\mathrm{o}}\)) of 9 MPa. The specimens were oriented with their bedding planes at various angles (\(\beta \)) to the major principal axis to simulate transverse isotropic conditions. Our findings reveal that both instantaneous and creep deformations are most significant when \(\beta = 0^{\circ }\), decreasing progressively to a minimum at \(\beta = 90^{\circ }\) across all confining pressures. The discrepancy in deformations between these intrinsic angles narrows with increasing \(\sigma _{3}\). Creep deformations for intermediate angles (\(0^{\circ} < \beta < 90^{\circ }\)) follow the elliptical equations. Utilizing the Burgers creep model, we observed that the instantaneous, viscoelastic moduli, and viscoplastic coefficients escalate with \(\beta \). The degree of anisotropy declines sharply as confining pressures increase, reaching an isotropic state under \(\tau _{\mathrm{o}} = 9\text{ MPa}\) and \(\sigma _{3}\) around 40 MPa, beyond which transient creep ceases, indicating a transition to Maxwell-material behavior. Employing linear viscoelastic theory, we derived an equation for time-dependent deformation under varying octahedral shear stresses. This enables the formulation of governing equations for Burgers-model parameters, considering bedding plane orientations, loading durations, and the interactions between shear and confining stresses.
期刊介绍:
Mechanics of Time-Dependent Materials accepts contributions dealing with the time-dependent mechanical properties of solid polymers, metals, ceramics, concrete, wood, or their composites. It is recognized that certain materials can be in the melt state as function of temperature and/or pressure. Contributions concerned with fundamental issues relating to processing and melt-to-solid transition behaviour are welcome, as are contributions addressing time-dependent failure and fracture phenomena. Manuscripts addressing environmental issues will be considered if they relate to time-dependent mechanical properties.
The journal promotes the transfer of knowledge between various disciplines that deal with the properties of time-dependent solid materials but approach these from different angles. Among these disciplines are: Mechanical Engineering, Aerospace Engineering, Chemical Engineering, Rheology, Materials Science, Polymer Physics, Design, and others.